Solve 53/4+11/2+43/8

$$5 \frac { 3 } { 4 } + 1 \frac { 1 } { 2 } + 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{93}{8}=11.625$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}+\frac{1\times 2+1}{2}+\frac{4\times 8+3}{8}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}+\frac{1\times 2+1}{2}+\frac{4\times 8+3}{8}$$

Multiply 1 and 2 to get 2.

$$\frac{23}{4}+\frac{2+1}{2}+\frac{4\times 8+3}{8}$$

Add 2 and 1 to get 3.

$$\frac{23}{4}+\frac{3}{2}+\frac{4\times 8+3}{8}$$

Least common multiple of 4 and 2 is 4. Convert \frac{23}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{23}{4}+\frac{6}{4}+\frac{4\times 8+3}{8}$$

Since \frac{23}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{23+6}{4}+\frac{4\times 8+3}{8}$$

Add 23 and 6 to get 29.

$$\frac{29}{4}+\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{29}{4}+\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{29}{4}+\frac{35}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{29}{4} and \frac{35}{8} to fractions with denominator 8.

$$\frac{58}{8}+\frac{35}{8}$$

Since \frac{58}{8} and \frac{35}{8} have the same denominator, add them by adding their numerators.

$$\frac{58+35}{8}$$

Add 58 and 35 to get 93.

$$\frac{93}{8}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {3}} = 11\frac{5}{8} = 11.625$$